Algebraic independence of the generating functions of Stern's sequence and of its twist

DOI10.5802/jtnb.824zbMath1268.11096OpenAlexW2314190161MaRDI QIDQ1953835

Peter Bundschuh, Keijo Väänänen

Publication date: 11 June 2013

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2013__25_1_43_0/

zbMATH Keywords

irrationality measuretranscendencealgebraic independenceMahler's methodStern sequencemeasure of algebraic independencehyper transcendental functions

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Transcendence (general theory) (11J81)

Related Items (6)

Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers ⋮ Hankel continued fraction and its applications ⋮ Note on the Stern-Brocot sequence, some relatives, and their generating power series ⋮ Algebraic independence of the generating functions of the stern polynomials and their twisted analogues ⋮ ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS ⋮ On simultaneous approximation of the values of certain Mahler functions

Cites Work

• Unnamed Item
• On the rational approximation to the Thue-Morse-Mahler numbers
• A note on differentially algebraic solutions of first order linear difference equations
• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• Mahler functions and transcendence
• On the Stern sequence and its twisted version
• TRANSCENDENCE AND ALGEBRAIC INDEPENDENCE OF SERIES RELATED TO STERN'S SEQUENCE
• New approach in Mahler's method.
• Irrationality measures for some automatic real numbers
• Algebraic independence of the values of certain functions at a transcendental number
• THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE

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